Is that possible that syphilis rash on hand only last for 2 day and then go? i read that secondary syphilis rash can stay for a week, i had rapid syphilis and negative?

Some basics: The rash of secondary syphilis spread widely often involving palms and soles and presents as pink to red slightly scaly spot or bump. They remain on skin for 2-10 weeks.

The rapid tests always are positive in secondary syphilis, so your negative test result proves you don't have it. And the answer to your opening question is no: the rash of secondary syphilis does not clear up within 2 days. Usually it lasts for several weeks until treated.